112212110001001 has 8 divisors (see below), whose sum is σ = 113058606889800. Its totient is φ = 111367281088128.

The previous prime is 112212110000999. The next prime is 112212110001107. The reversal of 112212110001001 is 100100011212211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3402176561001 + 108809933440000 = 1844499^2 + 10431200^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112212110001001 - 2¹ = 112212110000999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112212110001701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416858926 + ... + 417128023.

It is an arithmetic number, because the mean of its divisors is an integer number (14132325861225).

Almost surely, 2^{112212110001001} is an apocalyptic number.

It is an amenable number.

112212110001001 is a deficient number, since it is larger than the sum of its proper divisors (846496888799).

112212110001001 is an equidigital number, since it uses as much as digits as its factorization.

112212110001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833987963.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112212110001001 its reverse (100100011212211), we get a palindrome (212312121213212).

The spelling of 112212110001001 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred ten million, one thousand, one".